Pith Number

pith:ON76V4AC

pith:2015:ON76V4ACUYIMX6PU7N637M76FH

not attested not anchored not stored refs pending

Valuations on the space of quasi-concave functions

Andrea Colesanti, Nico Lombardi

arxiv:1512.00231 v1 · 2015-12-01 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ON76V4ACUYIMX6PU7N637M76FH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:25:32.414730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737feaf002a610cbf9f4fb7dbfb3fe29d014d2617e85f59ff5bb93bdedc8247d

Aliases

arxiv: 1512.00231 · arxiv_version: 1512.00231v1 · doi: 10.48550/arxiv.1512.00231 · pith_short_12: ON76V4ACUYIM · pith_short_16: ON76V4ACUYIMX6PU · pith_short_8: ON76V4AC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ON76V4ACUYIMX6PU7N637M76FH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 737feaf002a610cbf9f4fb7dbfb3fe29d014d2617e85f59ff5bb93bdedc8247d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015372f32e95d0c0f55e159afdb71b58d166e34a78e68ff6834010ad6f34a8a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-12-01T11:42:39Z",
    "title_canon_sha256": "07eef2a7d1823ce2d2d65fd3eb0c1b049bb137e99532f5404bea0f190c08df02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00231",
    "kind": "arxiv",
    "version": 1
  }
}